Classical logic’s negation models the master’s account of otherness as lack

Evidence

Classical logic supplies an account of otherness which has key features of dualistic otherness. The negation of classical logic is a specific concept of negation which forces us to consider otherness in terms of a single universe consisting of everything. In classical logic, negation (~p). is interpreted as the universe without p, everything in the universe other than what p covers, as represented in the usual Venn diagram representing p as a figure surrounded by a square which represents the universe, with ~p as the remainder (Figure 1). Such an account leads directly to the relevance paradoxes. But what is important for the issue we are considering here is that ~p can then not be independently or positively identified, but is entirely dependent on p for its specification. Not-p has no independent role, but is introduced as merely alien to the primary notion p (Plumwood and Routley 1985:217). — Val Plumwood, Feminism and the Mastery of Nature, 231

Categorization

• XREF: Directly bridges to Merchant’s account of how the reason/nature split and mechanism reduced women and nature to passive, defined-by-male-agency matter — here the same logic is shown formalized inside classical negation itself. — connects to: Defining the other as lack incorporates it into the master’s self, precluding real recognition — Val Plumwood, Feminism and the Mastery of Nature, 215; Alternative logical systems already express otherness as nonhierarchical difference — Val Plumwood, Feminism and the Mastery of Nature, 237; The Other is constituted by negation as the self which is not myself — Jean-Paul Sartre, Being and Nothingness: An Essay on…, 675 (+2 more)
• DEFINE: Defines the key link between classical negation and the relational-definition (incorporation) feature of dualism.

Broader Connections

• Alternative logical systems already express otherness as nonhierarchical difference #responds-to (0.82) — Val Plumwood, Feminism and the Mastery of Nature, 237
• Transcendental imagination holds being and non-being in co-implication as relative non-being #qualifies (0.78) — Catherine Malabou, The Future of Hegel, 897
• The Other is constituted by negation as the self which is not myself #expands (0.75) — Jean-Paul Sartre, Being and Nothingness, 675
• Otherness discourse depends on a stable Enlightenment Self as its reference point #complicates (0.72) — David Theo Goldberg, John Solomos, A Companion to Racial and Ethnic Studies, 206